Covariant implementation of bi-particle force for simulation of relativistic many-body systems with reactions

In this work we present a covariant implementation of force for Chaos Many-Body Engine (CMBE - Grossu et al., 2021) .Net application. Thus, supposing the expression of bi-particle force is known in the center-of-mass frame, we applied specific relativistic transformations for obtaining the corresponding value in laboratory frame. As an example of use, we discuss a toy-model for relativistic nuclear collisions at Facility for Antiproton and Ion Research (FAIR) energies.